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Simplifying 4y + -1[3y + -1(6 + -2y)] = 0 4y + -1[3y + (6 * -1 + -2y * -1)] = 0 4y + -1[3y + (-6 + 2y)] = 0 Reorder the terms: 4y + -1[-6 + 3y + 2y] = 0 Combine like terms: 3y + 2y = 5y 4y + -1[-6 + 5y] = 0 4y + [-6 * -1 + 5y * -1] = 0 4y + [6 + -5y] = 0 Reorder the terms: 6 + 4y + -5y = 0 Combine like terms: 4y + -5y = -1y 6 + -1y = 0 Solving 6 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6
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